Information on Result #1715566
Digital (176, 202, 22132)-net over F3, using net defined by OOA based on linear OOA(3202, 22132, F3, 35, 26) (dual of [(22132, 35), 774418, 27]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3202, 66397, F3, 5, 26) (dual of [(66397, 5), 331783, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 66399, F3, 5, 26) (dual of [(66399, 5), 331793, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3202, 66399, F3, 2, 26) (dual of [(66399, 2), 132596, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 88602, F3, 2, 26) (dual of [(88602, 2), 177002, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3201, 88602, F3, 2, 26) (dual of [(88602, 2), 177003, 27]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3199, 88601, F3, 2, 26) (dual of [(88601, 2), 177003, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3199, 177202, F3, 26) (dual of [177202, 177003, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3199, 177202, F3, 26) (dual of [177202, 177003, 27]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3199, 88601, F3, 2, 26) (dual of [(88601, 2), 177003, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3201, 88602, F3, 2, 26) (dual of [(88602, 2), 177003, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 88602, F3, 2, 26) (dual of [(88602, 2), 177002, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3202, 66399, F3, 2, 26) (dual of [(66399, 2), 132596, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 66399, F3, 5, 26) (dual of [(66399, 5), 331793, 27]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.